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Generalized power means
and interpolating inequalities


Authors: Hsu-Tung Ku, Mei-Chin Ku and Xin-Min Zhang
Journal: Proc. Amer. Math. Soc. 127 (1999), 145-154
MSC (1991): Primary 26B25, 26D05, 26D10
DOI: https://doi.org/10.1090/S0002-9939-99-04845-5
MathSciNet review: 1600105
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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, we introduce a multi-parameter family of generalized power means, and use their special properties to provide a new method of interpolating inequalities. We give a different refinement of an inequality of Ky Fan as a particular application of our method.


References [Enhancements On Off] (What's this?)

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Additional Information

Hsu-Tung Ku
Affiliation: Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003
Email: meiku@math.umass.edu

Mei-Chin Ku
Affiliation: Department of Mathematics and Statistics, University of South Alabama, Mobile, Alabama 36688
Email: zhang@mathstat.usouthal.edu

DOI: https://doi.org/10.1090/S0002-9939-99-04845-5
Keywords: Arithmetic mean, geometric mean, harmonic mean, symmetric mean, generalized power mean, interpolating inequalities
Received by editor(s): May 2, 1997
Communicated by: Frederick W. Gehring
Article copyright: © Copyright 1999 American Mathematical Society

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